Writing Two-Step Equations in Depth

The video tutorial covers lesson 6.3 on writing two-step equations. It begins with modeling two-step equations using algebra tiles, explaining the representation of positive and negative variables. The tutorial then applies these equations to real-world scenarios, such as gym memberships and gift card balances, demonstrating how to translate word problems into equations. Finally, it guides viewers on creating word problems from given equations, providing examples and explanations for better understanding.

What do algebra tiles represent in the context of two-step equations?

• Only constants

• Positive and negative variables and constants

• Only positive variables

• Only negative variables

Tags

CCSS.8.EE.C.8A

How would you model the equation 3x - 4 = 5 using algebra tiles?

• Three positive variable tiles and five negative one tiles on one side, and four positive one tiles on the other side

• Three negative variable tiles and four positive one tiles on one side, and five negative one tiles on the other side

• Three positive variable tiles and four negative one tiles on one side, and five positive one tiles on the other side

• Four positive variable tiles and three negative one tiles on one side, and five positive one tiles on the other side

Tags

CCSS.7.EE.B.4A

What is the first step in writing a two-step equation to represent a real-world problem?

• Combine like terms

• Solve the equation

• Graph the equation

• Identify the variable

Tags

CCSS.8.EE.C.7B

In the example of the gym membership, what does the variable M represent?

• The monthly cost

• The total cost

• The joining fee

• The number of months

Tags

CCSS.HSF.LE.B.5

Why would it be difficult to model the equation 12M + 40 = 460 without algebra tiles?

• Because the equation has no solution

• Because it requires a large number of tiles

• Because the equation is too complex

• Because algebra tiles cannot represent variables

Tags

CCSS.7.EE.B.4A

Can you combine 40 and 12M to get 52M?

• Yes, because they are both part of the equation

• No, because 40 is a constant

• Yes, because they are both numbers

• No, because they are not like terms

Tags

CCSS.7.EE.A.1

Billy has a gift card with a balance of $150 and buys several video games costing $35 each. If his remaining balance is $45, how many video games did he buy?

• 3

• 5

• 4

• 6

Tags

CCSS.7.EE.B.4A

In the equation 5x + 50 = 120, what does the term 5x represent?

• The weight of one book

• The total weight of books

• The total cost

• The number of books

Tags

CCSS.HSA.CED.A.3

If Leon receives $50 as a gift and saves $5 each week, how many weeks will it take him to save $120?

• 16 weeks

• 14 weeks

• 17 weeks

• 15 weeks

Tags

CCSS.HSF.BF.A.2

Hank has $40 and wants to save $100 for a trip. If he earns $10 each time he mows the lawn, how many times does he need to mow the lawn?

• 6 times

• 7 times

• 9 times

• 8 times

Tags

CCSS.7.EE.B.4A